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Finding the Fourth Proportional to 3,924.56, 5,889.46 and 1,459.63

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Solution

The fourth proportional to 3,924.56, 5,889.46 and 1,459.63 is: 2,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.56 : 5,889.46 = 1,459.63 : x
  2. Step 2: Convert to fraction form
    3,924.56/5,889.46 = 1,459.63/x
  3. Step 3: Cross multiply
    3,924.56x = 5,889.46 × 1,459.63
  4. Step 4: Simplify right side
    3,924.56x = 8,596,422.39
  5. Step 5: Solve for x
    x = 8,596,422.39/3,924.56
  6. Step 6: Final answer
    x = 2,190.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.